Leaf-preserving quantizations of Poisson SU(2) are not coalgebra homomorphisms

DOI10.1007/BF02099429zbMath0839.46073OpenAlexW1965577280MaRDI QIDQ1908058

Albert Jeu-Liang Sheu

Publication date: 10 April 1996

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02099429

zbMATH Keywords

deformation quantizationssymplectic leavesPoisson SU(2)quantization of SU(2) cannot be both leaf-preserving and group-preserving

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Geometry and quantization, symplectic methods (81S10) Applications of functional analysis in quantum physics (46N50) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Geometric quantization (53D50)

Related Items (2)

Symplectic leaves and deformation quantization ⋮ Compact quantum groups and groupoid \(C^*\)-algebras

Cites Work

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• The local structure of Poisson manifolds
• On the theory of quantum groups
• Compact matrix pseudogroups
• Poisson Lie groups, dressing transformations, and Bruhat decompositions
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Deformation theory and quantization. I: Deformations of symplectic structures
• On the Haar measure of the quantum \(SU(N)\) group
• Quantum dressing orbits on compact groups
• Algebra of functions on the quantum group SU(2)
• Deformation quantization of Heisenberg manifolds
• Quantization of the Poisson SU(2) and its Poisson homogeneous space - the 2-sphere

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